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11499656064 = 2731319263461
BaseRepresentation
bin10101011010110111…
…01101001110000000
31002200102122001111120
422231123231032000
5142022402443224
65141033312240
7554654315031
oct125533551600
932612561446
1011499656064
11497128a896
12228b265680
1311135bc020
147b13b6a88
1547488a779
hex2ad6ed380

11499656064 has 256 divisors, whose sum is σ = 34834060800. Its totient is φ = 3332136960.

The previous prime is 11499656053. The next prime is 11499656101. The reversal of 11499656064 is 46065699411.

It is a happy number.

11499656064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11499655998 and 11499656016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24944794 + ... + 24945254.

It is an arithmetic number, because the mean of its divisors is an integer number (136070550).

Almost surely, 211499656064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11499656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17417030400).

11499656064 is an abundant number, since it is smaller than the sum of its proper divisors (23334404736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11499656064 is a wasteful number, since it uses less digits than its factorization.

11499656064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 11499656064 in words is "eleven billion, four hundred ninety-nine million, six hundred fifty-six thousand, sixty-four".